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Finding the Fourth Proportional to 12,217.84, 18,332.50 and 8,475.32

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Solution

The fourth proportional to 12,217.84, 18,332.50 and 8,475.32 is: 12,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.84 : 18,332.50 = 8,475.32 : x
  2. Step 2: Convert to fraction form
    12,217.84/18,332.50 = 8,475.32/x
  3. Step 3: Cross multiply
    12,217.84x = 18,332.50 × 8,475.32
  4. Step 4: Simplify right side
    12,217.84x = 155,373,803.90
  5. Step 5: Solve for x
    x = 155,373,803.90/12,217.84
  6. Step 6: Final answer
    x = 12,716.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.